How do you factor the trinomial # 2x^2+5x-3#?
1 Answer
Apr 28, 2018
Explanation:
#"using the a-c method for factoring quadratics"#
#"the factors of the product "2xx-3=-6#
#"which sum to + 5 are + 6 and - 1"#
#"split the middle term using these factors"#
#2x^2+6x-x-3larrcolor(blue)"factor by grouping"#
#=color(red)(2x)(x+3)color(red)(-1)(x+3)#
#"take out the "color(blue)"common factor "(x+3)#
#=(x+3)(color(red)(2x-1))#
#rArr2x^2+5x-3=(x+3)(2x-1)#
